Question

Math question

Answer 1

@welshfella It's B right?

Answer 2

here, we have to evaluate the subsequent ratio:
\[\frac{{L\left( 4 \right) - L\left( 0 \right)}}{{4 - 0}}\]
for each of yours function, namely when L stands for:
f(x), g(x) and h(x)

Answer 3

for example, if we consider the function f(x), then the above ratio is:
\[\frac{{f\left( 4 \right) - f\left( 0 \right)}}{{4 - 0}} = \frac{{64 - 0}}{{4 - 0}} = ...?\]
please complete

Answer 4

64/4=16

Answer 5

ok!

Answer 6

please wait, we have to evaluate the same ratio for function h(x) and g(x)

Answer 7

now if we consider the function g(x), we get:
\[\frac{{g\left( 4 \right) - g\left( 0 \right)}}{{4 - 0}} = \frac{{ - 3 - 1}}{{4 - 0}} = ...?\]

Answer 8

-4/4 = -1

Answer 9

ok!
Now we have to consider the function h(x)

Answer 10

so we can write:
\[\frac{{h\left( 4 \right) - h\left( 0 \right)}}{{4 - 0}} = \frac{{\left\{ {{{\left( {4 + 4} \right)}^2} + 2} \right\} - \left\{ {{{\left( {0 + 4} \right)}^2} + 2} \right\}}}{{4 - 0}} = ...?\]

Answer 11

66-18=48

Answer 12

48/4 = 12

Answer 13

ok!

Answer 14

so reassuming we have:
function rate
f(x) 16
g(x) -1
h(x) 12
what can you conclude?

Answer 15

The order from least to greatest is g(x), h(x), f(x)

Answer 16

yes! correct!

Answer 17

Thank you Michele :)

Answer 18

:)